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Popular >

9-|2x+8|<= 5

Solution

9 - ∣ 2 x + 8 ∣ \leq 5

Solution

x \leq - 6 or x \geq - 2

+1

Interval Notation

(- \infty, - 6] \cup [- 2, \infty)

Solution steps

9 - ∣ 2 x + 8 ∣ \leq 5

Move

9

to the right side

- ∣ 2 x + 8 ∣ \leq - 4

Multiply both sides by

- 1

∣ 2 x + 8 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 8 \leq - 4 or 2 x + 8 \geq 4

2 x + 8 \leq - 4 or 2 x + 8 \geq 4

x \leq - 6 or x \geq - 2

Popular Examples

- 6 y - y^{2} = - 28

14 x - 16 = 10 x

y^{2} + 9 = 0

14 = - (p - 8)

factor (x^4-1)/(x-1)factor

\frac{x ^{4} - 1}{x - 1}

Frequently Asked Questions (FAQ)

What is 9-|2x+8|<= 5 ?
The solution to 9-|2x+8|<= 5 is x<=-6\lor x>=-2